Presents eight techniques for teaching undergraduate mathematics whose main aims are (1) learning how to pose problems in an easier and more attractive form; (2) fostering usage of mathematical symbolism; and (3) checking the level of comprehension of the principal ideas. Examples illustrate each technique. (Author/MDH)

Describes unusual mathematical assignments and writing methods utilized in college geometry classes for students with little or no geometric background. Includes a bibliography of 51 source books suggested for use by students enrolled in these courses. (JJK)

Presents a method of transforming 15 mathematics students' questions expressing confusion and frustration into activities that (1) engage the hidden meaning behind the question; (2) open the dialog with students, and (3) provide a chance to interact with students on crucial issues of what is at stake in learning mathematics. (MDH)

Discusses a pedagogical approach to calculus based on the question: What kinds of problems should students be able to solve? Includes a discussion of types of problems and curriculum threads for such a course. Describes a projects-based calculus with examples of projects and classroom activities. (Author/MDH)

Identifies and analyzes some recurrent problems with the implementation of cooperative and active learning strategies. Addresses the use of questions, management of instructor-centered activities, management of in-class group activities, and relinquishing forms of control in the classroom. (Author/ASK)